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In: Statistics and Probability

A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis       Conclusion and...

A production line operation is tested for filling weight accuracy using the following hypotheses.

Hypothesis       Conclusion and Action
H 0:  = 16         Filling okay, keep running
H a:     16       Filling off standard; stop and adjust machine

The sample size is 40 and the population standard deviation is  = 1. Use  = .05. Do not round intermediate calculations.

  1. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
  2. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?
  3. Choose the power curve for this hypothesis test.
  4. A.

    B.

    C.

    Select the power curve A, B or C?

    What information does the power curve contain for the production manager?

    The probability of Select" (rejecting or failing to reject) the "Select" (null or alternative) hypothesis for various mean filling weights.

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